Partial prolongations and characteristics of differential equations.
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- by H. H. Johnson PDF
- Trans. Amer. Math. Soc. 146 (1969), 231-240 Request permission
References
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E. Cartan, “Sur l’équivalence absolue de certains systèmes d’équations différentielles et sur certaines familles de courbes” in Oeuvres complètes, Partie II, vol. 2, Gauthier-Villars, Paris, 1953, pp. 1133-1168.
- Robert Hermann, E. Cartan’s geometric theory of partial differential equations, Advances in Math. 1 (1965), no. fasc. 3, 265–317. MR 209623, DOI 10.1016/0001-8708(65)90040-X
- H. H. Johnson, Absolute equivalence of exterior differential systems, Illinois J. Math. 10 (1966), 407–411. MR 216411
- H. H. Johnson, The non-invariance of hyperbolicity in partial differential equations, Pacific J. Math. 22 (1967), 419–430. MR 231023 M. Kuranishi, Lectures on involutive systems of partial differential equations, Publicaçōes da Sociedade de Matemática de São Paulo, São Paulo, 1967.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 146 (1969), 231-240
- MSC: Primary 35.09; Secondary 57.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0249790-9
- MathSciNet review: 0249790